Answer:
Area: 38 cm^2 Perimeter: 28 cm
Step-by-step explanation:
blegh
No, because if they were equal the second equation should be 225/(15x3), not (15/3).
The answer is <span>one halfn − 16
</span>
Let the number be n.
<span>One half of a number is (1/2n)
</span><span>decreased by 16 is (-16)
</span><span>one half of a number decreased by 16 is
1/2n - 16
Or </span><span>one halfn − 16</span>
do parentheses first which gives you 42-4+111 then aubtract to get 38+111 which equals 149
Step-by-step explanation:
let us give all the quantities in the problem variable names.
x= amount in utility stock
y = amount in electronics stock
c = amount in bond
“The total amount of $200,000 need not be fully invested at any one time.”
becomes
x + y + c ≤ 200, 000,
Also
“The amount invested in the stocks cannot be more than half the total amount invested”
a + b ≤1/2 (total amount invested),
=1/2(x + y + c).
(x+y-c)/2≤0
“The amount invested in the utility stock cannot exceed $40,000”
a ≤ 40, 000
“The amount invested in the bond must be at least $70,000”
c ≥ 70, 000
Putting this all together, our linear optimization problem is:
Maximize z = 1.09x + 1.04y + 1.05c
subject to
x+ y+ c ≤ 200, 000
x/2 +y/2 -c/2 ≤ 0
≤ 40, 000,
c ≥ 70, 000
a ≥ 0, b ≥ 0, c ≥ 0.
